Using conditional averaging of delayed signals to measure phase shift angle

• Autorzy: Kowalczyk Adam , Szlachta Anna

Identyfikatory

DOI

10.24425/mms.2022.143064

• Języki publikacji: EN

Abstrakty

EN

A novel measurement method and a brief discussion of basic characteristics of measuring the phase shift angle between two sinusoidal signals of the same frequency are presented in this paper. It contains a mathematical model for using conditional averaging of a delayed signal interfered with noise to measure the phase shift angle. It also provides characteristics of conditional mean values and discusses the effect of random interferences on the accuracy of the phase shift measurement. The way to determine the variance of the conditional mean value, together with the assessment of standard and expanded uncertainty, are described. The uncertainty characteristic shows the complementary properties of the discussed angle measurement principle 𝜑 for small absolute values |𝜑| (minimum for 𝜑 = 0) relative to the correlation principle, where the minimum measurement uncertainty is present for 𝜑 = 𝜋/2

Słowa kluczowe

EN

conditional averaging; delayed signal; mean value

• Wydawca: Komitet Metrologii i Aparatury Naukowej PAN
• Czasopismo: Metrology and Measurement Systems
• Rocznik: 2022
• Tom: Vol. 29, nr 4
• Strony: 655--667
• Opis fizyczny: Bibliogr. 13 poz., tab., wykr., wzory

Twórcy

autor

Kowalczyk Adam

• Rzeszow University of Technology, Faculty of Electrical and Computer Engineering, Department of Metrology and Diagnostic Systems, W. Pola 2, 35-959 Rzeszow, Poland

autor

Szlachta Anna

• Rzeszow University of Technology, Faculty of Electrical and Computer Engineering, Department of Metrology and Diagnostic Systems, W. Pola 2, 35-959 Rzeszow, Poland

Bibliografia

• [1] Gajda, J., & Sroka, R. (2000). Phase angle measurements. Models - systems - algorithms. Publisher AGH, Kraków (in Polish)
• [2] Piersol, A. (1981). Time delay estimation using phase data. IEEE Transactions on Acoustics, Speech, and Signal Processing, 29(3), 471-477. https://doi.org/10.1109/TASSP.1981.1163555
• [3] Wagdy, M. F., & Lucas, M. S. (1985). Errors in sampled data phase measurement. IEEE Transactions on Instrumentation and Measurement, (4), 507-509. https://doi.org/10.1109/TIM.1985.4315392
• [4] Micheletti, R. (1991). Phase angle measurement between two sinusoidal signals. IEEE Transactions on Instrumentation and Measurement, 40(1), 40-42. https://doi.org/10.1109/19.69948
• [5] Sedlacek, M., & Krumpholc, M. (2005). Digital measurement of phase difference - a comparative study of DSP algorithms. Metrology and Measurement Systems, 12(4), 427-448.
• [6] Max, J (1981). Méthodes et techniques de traitement du signal et applications aux mesures physiques (vols. 1, 2). Masson.
• [7] Gajda, J. (1997). The instantaneous phaseshift estimation using a correlation methods. 9th International Symposium on Electrical Instruments in Industry, Glasgow.
• [8] Fu, H., & Kam, P. Y. (2008, September). Exact phase noise model and its application to linear minimum variance estimation of frequency and phase of a noisy sinusoid. In 2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications (pp. 1-5). IEEE. https://doi.org/10.1109/PIMRC.2008.4699399
• [9] Wang, Q., Quan, Z., Bi, S., & Kam, P. Y. (2021). Joint ML/MAP Estimation of the Frequency and Phase of a Single Sinusoid With Wiener Carrier Phase Noise. IEEE Transactions on Signal Processing, 70, 337-350. https://doi.org/10.1109/TSP.2021.3137966
• [10] Krajewski, R. A. (1993). Coincidence phasemeter with quasi-quadrature signal. International Journal of Electronics, 74(1), 451-458. https://doi.org/10.1080/00207219308925848
• [11] Kowalczyk, A., & Szlachta, A. (2011). Algorithmic method for phase angle shift of noisy voltages using conditional averaging of delayed signal’s absolute value. Metrology and Measurement Systems, 18(1), 137-144. https://doi.org/10.2478/v10178-011-0013-4
• [12] Kowalczyk A., & Szlachta A. (2016). Phase shift measurement method using conditional averaging of the delayed signal module. Przegląd Elektrotechniczny, 92(11). https://doi.org/10.15199/48.2016.09.66
• [13] Joint Committee for Guides in Metrology. (2008). Evaluation of measurement data - Guide to the expression of uncertainty in measurement (JCGM 100:2008). http://www.bipm.org/utils/common/documents/jcgm/JCGM_100_2008_E.pdf

Uwagi

1. This project is financed by the Polish Ministry of Education and Science under the program “Regional Initiative of Excellence” in 2019-2023. Project number 027/RID/2018/19, amount granted 11 999 900 PLN.

2. Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).